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A New Method for Determining $F_π$ on the Lattice

P. H. Damgaard·Urs M. Heller·K. Splittorff·B. Svetitsky
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Abstract

We derive the two-point spectral correlation function of the Dirac operator with a specific external source in the $ε$-regime of QCD. This correlation function has a unique and strong dependence on $F_π$, and thus provides an novel way to extract $F_π$ from lattice simulations. We test the method in a quenched lattice simulation with staggered fermions.

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P. H. Damgaard, Urs M. Heller, K. Splittorff, B. Svetitsky. 2005-08-30. A New Method for Determining $F_π$ on the Lattice. https://doi.org/10.1103/physrevd.72.091501

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